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In this approach, we prioritize seeds with shorter planting times first. The idea is that we can start planting these seeds earlier, and consequently, they will finish blooming earlier. This might minimize the delay caused by longer-growing seeds.
Time Complexity: O(n log n) due to sorting. Space Complexity: O(n) for storing seeds in an array.
1def earliestFullBloom(plantTime, growTime):
2 seeds = sorted(zip(plantTime, growTime), key=lambda x: x[0])
3 current_day = 0
4 last_bloom_day = 0
5
6 for pt, gt in seeds:
7 current_day += pt
8 last_bloom_day = max(last_bloom_day, current_day + gt)
9
10 return last_bloom_day
11
12
13plantTime = [1, 4, 3]
14growTime = [2, 3, 1]
15result = earliestFullBloom(plantTime, growTime)
16print(f"Earliest Full Bloom Day: {result}")
17
The Python solution utilizes zip and sorted to manage the sorting and ordering of planting and growing operations, keeping track of cumulative days for bloom calculations.
This strategy focuses on seeds with longer grow times first. By doing so, we minimize delays caused by excessively long growing periods by ensuring they finish growing as soon as possible.
Time Complexity: O(n log n) because of sorting operations. Space Complexity: O(n) for storing seed data.
1using System.Linq;
class Seed {
public int PlantTime { get; set; }
public int GrowTime { get; set; }
}
class Program {
public static int EarliestFullBloom(int[] plantTime, int[] growTime) {
Seed[] seeds = new Seed[plantTime.Length];
for (int i = 0; i < plantTime.Length; i++) {
seeds[i] = new Seed { PlantTime = plantTime[i], GrowTime = growTime[i] };
}
Array.Sort(seeds, (a, b) => b.GrowTime.CompareTo(a.GrowTime));
int totalPlantDays = 0;
int maxBloomDay = 0;
foreach (var seed in seeds) {
totalPlantDays += seed.PlantTime;
maxBloomDay = Math.Max(maxBloomDay, totalPlantDays + seed.GrowTime);
}
return maxBloomDay;
}
static void Main() {
int[] plantTime = { 1, 4, 3 };
int[] growTime = { 2, 3, 1 };
Console.WriteLine("Earliest Full Bloom Day: " + EarliestFullBloom(plantTime, growTime));
}
}
The C# implementation uses the Seed class to store planting and growing times, sorts it by grow time, and tracks daily operations.